Second-order linear constant coefficient dynamic equations with polynomial forcing on time scales
Douglas R. Anderson
TL;DR
This paper provides a general solution for second-order linear constant coefficient dynamic equations with polynomial forcing on time scales, unifying continuous and discrete cases.
Contribution
It introduces a comprehensive solution method for second-order linear dynamic equations with polynomial forcing on arbitrary time scales.
Findings
Unified solution for continuous and discrete cases
Applicable to various time scales including non-uniform ones
Simplifies analysis of dynamic equations with polynomial forcing
Abstract
A general solution for a second-order linear constant coefficient dynamic equation with polynomial forcing on time scales is given.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Stability and Controllability of Differential Equations · Numerical methods for differential equations